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Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?
Correct answer is '30'. Can you explain this answer?
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Two trains of length 200 m and 100 m simultaneously writer - a tunnel ...
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Two trains of length 200 m and 100 m simultaneously writer - a tunnel ...
Given:
- Length of the first train = 200 m
- Length of the second train = 100 m
- Length of the tunnel = 300 m
- Speed of the first train = 36 kmph
- Speed of the second train = 18 kmph
To find:
- Time taken for the tunnel to be free of traffic again
Approach:
- We need to find the time taken for both trains to completely enter the tunnel.
- The train that enters the tunnel first will exit last, so we need to consider the time taken for the first train to completely enter the tunnel.
- We can calculate the time taken for the first train to completely enter the tunnel by dividing the length of the first train by the relative speed of the two trains.
- Once the first train completely enters the tunnel, the second train will still have to enter the tunnel completely.
- We can calculate the time taken for the second train to completely enter the tunnel by dividing the length of the second train by the relative speed of the two trains.
- The total time taken for the tunnel to be free of traffic again will be the maximum of the time taken for the first train to completely enter the tunnel and the time taken for the second train to completely enter the tunnel.
Calculation:
- Relative speed of the two trains = Speed of the first train - Speed of the second train = 36 kmph - 18 kmph = 18 kmph = 5 m/s
- Time taken for the first train to completely enter the tunnel = Length of the first train / Relative speed of the two trains = 200 m / 5 m/s = 40 s
- Time taken for the second train to completely enter the tunnel = Length of the second train / Relative speed of the two trains = 100 m / 5 m/s = 20 s
- Total time taken for the tunnel to be free of traffic again = Maximum of the above two times = max(40 s, 20 s) = 40 s
Therefore, the tunnel will be free of traffic again after 40 seconds.
Answer:
The tunnel will be free of traffic again after 40 seconds.
- Length of the first train = 200 m
- Length of the second train = 100 m
- Length of the tunnel = 300 m
- Speed of the first train = 36 kmph
- Speed of the second train = 18 kmph
To find:
- Time taken for the tunnel to be free of traffic again
Approach:
- We need to find the time taken for both trains to completely enter the tunnel.
- The train that enters the tunnel first will exit last, so we need to consider the time taken for the first train to completely enter the tunnel.
- We can calculate the time taken for the first train to completely enter the tunnel by dividing the length of the first train by the relative speed of the two trains.
- Once the first train completely enters the tunnel, the second train will still have to enter the tunnel completely.
- We can calculate the time taken for the second train to completely enter the tunnel by dividing the length of the second train by the relative speed of the two trains.
- The total time taken for the tunnel to be free of traffic again will be the maximum of the time taken for the first train to completely enter the tunnel and the time taken for the second train to completely enter the tunnel.
Calculation:
- Relative speed of the two trains = Speed of the first train - Speed of the second train = 36 kmph - 18 kmph = 18 kmph = 5 m/s
- Time taken for the first train to completely enter the tunnel = Length of the first train / Relative speed of the two trains = 200 m / 5 m/s = 40 s
- Time taken for the second train to completely enter the tunnel = Length of the second train / Relative speed of the two trains = 100 m / 5 m/s = 20 s
- Total time taken for the tunnel to be free of traffic again = Maximum of the above two times = max(40 s, 20 s) = 40 s
Therefore, the tunnel will be free of traffic again after 40 seconds.
Answer:
The tunnel will be free of traffic again after 40 seconds.
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Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer?
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Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer?.
Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer?.
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Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer?, a detailed solution for Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer? has been provided alongside types of Two trains of length 200 m and 100 m simultaneously writer - a tunnel of length 300 m from opposite ends at the same time on parallel tracks. The respective speeds of the two trains are 36 kmph and 18 kmph. After how much time from the instant the two trains entered the tunnel will the tunnel be free of traffic again?Correct answer is '30'. Can you explain this answer? theory, EduRev gives you an
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